That looks like the M3 wheel that is the 18x8 square setup, if it is then the offset is not right (lI think that wheel has a et29 offset). So no way to make it fit. Thsi is assuming the listing information (8x18) is correct, of course.

But 8" is not too wide for a 328i. Stock 18" wheels are 8" wide in front, and either 8" or 8.5" (depending on square or staggered setup) for rear.